Please help Me!!!!!
Divide the following polynomial, then place the answer in the proper location on the grid. Write your answer in order of descending powers of y.
(y 3 - 4y 2 + 7y - 6) (y - 2)
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OpenStudy (alekos):
are you familiar with polynomial division?
OpenStudy (countrygirl1431):
no
OpenStudy (alekos):
well then we'll have to start from the beginning
OpenStudy (countrygirl1431):
ok i need all the help i can get
OpenStudy (alekos):
|dw:1447079644092:dw|
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OpenStudy (alekos):
what is y^3/y ?
OpenStudy (countrygirl1431):
im not really sure
OpenStudy (alekos):
y^3 divided by y = y^2 OK?
OpenStudy (countrygirl1431):
ok
OpenStudy (countrygirl1431):
so whats the next step @alekos
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OpenStudy (alekos):
so now we have the following
OpenStudy (alekos):
|dw:1447080135476:dw|
OpenStudy (countrygirl1431):
ok
OpenStudy (alekos):
so now we have y^2 on the top above the y^3
now what is y^2(y-2)
OpenStudy (countrygirl1431):
would that be mutiplication?
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OpenStudy (alekos):
yep
OpenStudy (countrygirl1431):
so so would lthat be 2*-2?
OpenStudy (alekos):
no its
y^2(y-2) = y(y^2) - 2(y^2)
so what does that come out to?
OpenStudy (countrygirl1431):
2y^2
OpenStudy (alekos):
no its y^3 - 2y^2 OK?
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OpenStudy (countrygirl1431):
ok
OpenStudy (alekos):
so now we have
|dw:1447080563908:dw|
OpenStudy (alekos):
we place this result underneath the original polynomial starting from the first term.
Now we subtract the first 2 terms from each other
i.e. y^3 - 4y^2 - (y^3 -2y^2) ?
OpenStudy (countrygirl1431):
ok
OpenStudy (alekos):
your turn
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OpenStudy (alekos):
OK, next step
OpenStudy (countrygirl1431):
ok
OpenStudy (alekos):
|dw:1447081514034:dw|
OpenStudy (alekos):
Just like a normal long division. you see?
OpenStudy (countrygirl1431):
yeah
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OpenStudy (alekos):
Now we divide -2y^2 by the y from the (y-2) divisor
what do we get?
OpenStudy (countrygirl1431):
im not sure
OpenStudy (countrygirl1431):
im completely lost on this
OpenStudy (alekos):
_2y^2/y = ?
OpenStudy (alekos):
yeah you can do it
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OpenStudy (countrygirl1431):
wouldnt that just be y^2
OpenStudy (alekos):
no try again
-2y^2 divided by y = ?
OpenStudy (countrygirl1431):
i dont know
OpenStudy (alekos):
if you're struggling with this, then polynomial long division will be like climbing a mountain!
lets start with this
\[\frac{ y^{2} }{ y } = y\]
OpenStudy (alekos):
so what is
\[\frac{ -2y ^{2}{} }{ y } = ?\]
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OpenStudy (countrygirl1431):
-y^2
OpenStudy (alekos):
we're not getting anywhere unfortunately.
You need some serious help with algebra.
I would love to help you further but we need to get the algebra sorted first.
I suppose your in the US, is that right?
OpenStudy (countrygirl1431):
yup and yeah i know i suck at algebra
OpenStudy (alekos):
you need to get the algebra sorted first before you can even hope to solve polynomial long division problems. Do you have a local tutor?
I would love to help you out but I'm in the middle east and I tutor high school students every week.
I don't know, maybe we can do a skype tutoring session or something?
OpenStudy (countrygirl1431):
i dont have skype
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OpenStudy (alekos):
I take it you have a PC so does it have a microphone/speaker and/or camera?
OpenStudy (countrygirl1431):
no i dont have a laptop just a desk top
OpenStudy (alekos):
OK, I see. That makes it a little difficult. Maybe I can send you some algebra problems then via email with a little theory and some examples?